Second variation of energy and an associated line independent integral in fracture mechanics. II: Numerical validations

DOI10.1016/S0997-7538(99)80022-9zbMath0929.74088MaRDI QIDQ1286000

M. P. Valeta, X. Z. Suo

Publication date: 27 January 2000

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

\(J\)-integralenergy release rate\(D\)-integralcrack post-initiationplane stress/strain problems

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (4)

Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach ⋮ Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions ⋮ Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites ⋮ A method for multiple crack growth in brittle materials without remeshing

Cites Work

• Variational methods in theoretical mechanics. 2nd ed
• Unstable growth of thermally induced interacting cracks in brittle solids: Further results
• A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension cracks in brittle solids
• Conservation laws in elasticity of the J-integral type
• Stability of a system of interacting cracks
• Stability conditions for propagation of a system of cracks in a brittle solid
• On the method of virtual crack extensions
• Energy release rate and J integral for cracks propagating in nonhomogeneous media
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